1123295040 has 560 divisors, whose sum is σ = 4708940544. Its totient is φ = 248832000.

The previous prime is 1123295039. The next prime is 1123295051. The reversal of 1123295040 is 405923211.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1123294995 and 1123295013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7438965 + ... + 7439115.

Almost surely, 2^1123295040 is an apocalyptic number.

1123295040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354470272).

1123295040 is an abundant number, since it is smaller than the sum of its proper divisors (3585645504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1123295040 is a wasteful number, since it uses less digits than its factorization.

1123295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1123295040 is about 33515.5939825031. The cubic root of 1123295040 is about 1039.5162444442.

The spelling of 1123295040 in words is "one billion, one hundred twenty-three million, two hundred ninety-five thousand, forty".